Question
1) What is the equation that connects torque, moment of inertia and angular acceleration? 2) What is the equation that connects force, mass and linear
1) What is the equation that connects torque, moment of inertia and angular acceleration?
2) What is the equation that connects force, mass and linear acceleration?
3) Which quantities in these two equations are analogous to each other? Is it fair to say that rotational motion could be considered to have its own version of Newton's Second Law?
4) What is the equation that connects angular momentum, the moment of inertia and the angular speed?
5) What is the equation that connects linear momentum, the mass and the linear speed?
6) Which quantities in the two previous equations are analogous to each other?
7) Though we often write Newton's Second Law as F=ma, it can also be expressed as F=dp/dt. Show that the equations of rotation can be written to result in a similar equation for rotational motion.
8) Discuss the similarities and differences between rotation and linear motion, and between the equations that describe rotational and linear motion. Is it fair to say that they follow a similar underlying principle or not?
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